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Beliebt Rechnen >

x^{''}-x^'-110x=0,x(0)=14

Lösung

x^{^{''}} - x^{^{'}} - 110 x = 0, x (0) = 14

Lösung

x = (14 - c_{2}) e^{11 t} + c_{2} e^{- 10 t}

Schritte zur Lösung

x^{''} (t) - x^{'} (t) - 110 x = 0

Solve linear ODE:

x = (14 - c_{2}) e^{11 t} + c_{2} e^{- 10 t}

x = (14 - c_{2}) e^{11 t} + c_{2} e^{- 10 t}

Graph

Beliebte Beispiele

3y^{''}+5y^'+y=0

3 y^{^{''}} + 5 y^{^{'}} + y = 0

y^{''}+16y=0,y(0)=3,y^'(0)=1

y^{^{''}} + 16 y = 0, y (0) = 3, y^{^{'}} (0) = 1

y^{''}+16y=0,y(0)=3,y^'(0)=0

y^{^{''}} + 16 y = 0, y (0) = 3, y^{^{'}} (0) = 0

-2y^{'''}-4y^{''}+10y^'+12y=0

- 2 y^{^{'''}} - 4 y^{^{''}} + 10 y^{^{'}} + 12 y = 0

y^{''}-6y^'-216y=0

y^{^{''}} - 6 y^{^{'}} - 216 y = 0